List of top Quantitative Aptitude Questions

In the figure, \( OABC \) is a parallelogram. The area of the parallelogram is 21. Coordinates are: \( O = (0,0) \), \( A = (7,0) \), and point \( C \) lies on line \( x = 3 \). Find coordinates of \( B \).
If \( ax^2 + bx + c = 0 \) and \( 2a, b, 2c \) are in arithmetic progression, then which of the following are the roots of the equation?
Find the complete set of values that satisfy the relations \[ |x - 3|<2 \quad \text{and} \quad |x| - 2|<3 \]
A car \( A \) starts from a point \( P \) towards another point \( Q \). Another car \( B \) starts (also from \( P \)) 1 hour after the first car \( A \), and overtakes it after covering 30% of the distance \( PQ \). After that, the cars continue. On reaching \( Q \), car \( B \) reverses and meets car \( A \), after covering \( 2\frac{1}{3} \) of the distance \( QP \). Find the time taken by car \( B \) to cover the distance \( PQ \) (in hours).
A solid sphere of radius 12 inches is melted and cast into a right circular cone whose base diameter is \( \sqrt{2} \) times its slant height. If the radius of the sphere and the cone are the same, how many such cones can be made and how much material is left out?
If \( \alpha \) and \( \beta \) are the roots of the quadratic equation \[ x^2 - 10x + 15 = 0, \] then find the quadratic equation whose roots are \( \left( \alpha + \frac{\alpha}{\beta} \right) \) and \( \left( \beta + \frac{\beta}{\alpha} \right) \).
If \( (a^2 + b^2), (b^2 + c^2) \) and \( (a^2 + c^2) \) are in geometric progression, which of the following holds true?
If \( x \) is a real number and \( \lfloor x \rfloor \) is the greatest integer \( \leq x \), then \[ 3\lfloor x \rfloor + 2 - \lfloor x \rfloor = 0 \] Will the above equation have any real root?
A certain number written in a certain base is 144. Which of the following is always true?
\( p \) is a prime and \( m \) is a positive integer. How many solutions exist for the equation \[ p^5 - p = (m^2 + m + 6)(p - 1)? \]
A rectangle is drawn such that none of its sides has length greater than ‘\( a \)’. All lengths less than ‘\( a \)’ are equally likely. The chance that the rectangle has its diagonal greater than ‘\( a \)’ (in terms of %) is:
Let \( P = \{2, 3, 4, \ldots, 100\} \) and \( Q = \{101, 102, 103, \ldots, 200\} \). How many elements of \( Q \) are there such that they do not have any element of \( P \) as a factor?
In the figure below, \( \angle MON = \angle MPO = \angle NQO = 90^\circ \), \( OQ \) is the bisector of \( \angle MON \), and \( QN = 10 \), \( OR = 40/\sqrt{7} \). Find \( OP \).
If the roots of the equation \[ (a^2 + b^2)x^2 + 2(b^2 + c^2)x + (b^2 + c^2) = 0 \] are real, which of the following must hold true?
What is the sum of all the 2-digit numbers which leave a remainder of 6 when divided by 8?
Which of the terms \( 2^{1/3}, 3^{1/4}, 4^{1/6}, 6^{1/8}, 10^{1/12} \) is the largest?
Find the remainder when \( 2^{1040} \) is divided by 131.
Consider a sequence \( S \) whose \( n \)th term \( T_n \) is defined as \( T_n = 1 + \frac{3}{n} \), where \( n = 1, 2, \ldots \). Find the product of all the consecutive terms of \( S \) starting from the 4th term to the 60th term.
There are two water drums in my house whose volumes are in the ratio \(1 : 5\). Every day the smaller drum is filled first and then the same pipe is used to fill the bigger drum. Normally by 1:30 pm the smaller drum would just be full. But today, I returned early and started drawing water manually. I poured one-third into the smaller drum and the rest into the bigger drum. I continued this till the smaller drum was full. Immediately after that, I shifted the pipe into the bigger drum. If today the bigger drum was filled 12 minutes earlier than the normal time, when was the smaller drum full?
Difference between two numbers is 9 and difference between their squares is 981. Lowest of the two numbers is:
The 10th term of the series 5, 8, 11, 14, … is:
Considering two major sports events - IPL and Common Wealth Games, scheduled in the near future, a manufacturer of LCD TV projects a 10% increase in demand per week after 5 weeks. Currently he is producing 500 TV sets per week and is planning to increase his production by 5% per week for the first 4 weeks. After 4 weeks, he increases production by 8% compared to the previous week. Presently he is selling 600 TV sets per week at Rs. 30000/-. Considering growth in demand, he is planning to give a discount of Rs. 2000/- after 4 weeks.
The revenue for Rajesh Fruit Shop varies from day to day. The shop's revenue on the first day of the year 2009 was Rs 1000/-, and on the second day it was Rs 6000/-. On the third day, the revenue decreased by Rs 4000/- as compared to the previous day's revenue. On the fourth day, the revenue increased by Rs 5000/- as compared to the previous day. If this trend continues, total revenue (in thousands) for Rajesh Fruit Shop for the year 2009 will be
If 5x = 25, what is x?
If the cost price of an item is Rs. 200 and it is sold at a 25% profit, what is the selling price?